Mathematics
Grade-8
Easy

Question

What is the smallest number by which 3600 be divided to make it a perfect cube?

  1. 450
  2. 445
  3. 440
  4. 430

hintHint:

We will divide 3600 by each of the options given and then check whether the resultant number is a perfect cube or not.

The correct answer is: 450


    GIVEN-
    given number = 3600
    TO FIND-
    Smallest number by which 3600 should be divided to make it a perfect cube.
    SOLUTION-
    a. 450
    3600/450 = 8
    We know that 8 is a perfect cube because 3√8 = 2.
    b. 440
    3600/440 = 90/11
    We know that 90/11 is not a perfect cube.
    c. 430
    3600/430 = 360/43
    We know that 360/43 is not a perfect cube.
    d. 445
    3600/455 = 720/89
    We know that 720/89 is not a perfect cube.
    FINAL ANSWER-
    Option 'a' i.e. '450' is the correct answer to the given question.

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